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1140323130 = 233579193277
BaseRepresentation
bin100001111110111…
…1111001100111010
32221110201102021000
41003331333030322
54313410320010
6305053025430
740154405142
oct10375771472
92843642230
101140323130
11535756711
12279a85276
1315232b61b
14ab637922
156a19d7c0
hex43f7f33a

1140323130 has 128 divisors (see below), whose sum is σ = 3106483200. Its totient is φ = 297603072.

The previous prime is 1140323101. The next prime is 1140323131. The reversal of 1140323130 is 313230411.

1140323130 is a `hidden beast` number, since 1 + 1 + 403 + 231 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1140323131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4116552 + ... + 4116828.

It is an arithmetic number, because the mean of its divisors is an integer number (24269400).

Almost surely, 21140323130 is an apocalyptic number.

1140323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553241600).

1140323130 is an abundant number, since it is smaller than the sum of its proper divisors (1966160070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1140323130 is a wasteful number, since it uses less digits than its factorization.

1140323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1140323130 is about 33768.6708355541. The cubic root of 1140323130 is about 1044.7426180223.

Adding to 1140323130 its reverse (313230411), we get a palindrome (1453553541).

The spelling of 1140323130 in words is "one billion, one hundred forty million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 193 237 270 277 386 395 474 554 579 711 790 831 965 1158 1185 1385 1422 1662 1737 1930 2133 2370 2493 2770 2895 3474 3555 4155 4266 4986 5211 5790 7110 7479 8310 8685 10422 10665 12465 14958 15247 17370 21330 21883 24930 26055 30494 37395 43766 45741 52110 53461 65649 74790 76235 91482 106922 109415 131298 137223 152470 160383 196947 218830 228705 267305 274446 320766 328245 393894 411669 457410 481149 534610 590841 656490 686115 801915 823338 962298 984735 1181682 1372230 1443447 1603830 1969470 2058345 2405745 2886894 2954205 4116690 4223419 4811490 5908410 7217235 8446838 12670257 14434470 21117095 25340514 38010771 42234190 63351285 76021542 114032313 126702570 190053855 228064626 380107710 570161565 1140323130